Results 11 to 20 of about 10,336 (188)
Homoclinic Points Calculation Method With Particle Swarm Optimization
IEEE AccessThis paper proposes a novel algorithm to accurately calculate the coordinates of homoclinic points observed in discrete-time dynamical systems. The proposed method is based on the particle swarm optimization method. Compared with the current methods, the
Tatsumi Makino +3 more
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Homoclinic points in conservative systems
Inventiones Mathematicae, 1972 We consider a compact manifold M" with a volume or a symplectic structure. We remind that a volume structure is given by a nowherezero n-form o9 on M" and that a symplectic structure is given by a closed 2-form o9 on M" which has the property that o9 ^ ... ^ o9 (n/2 times) defines a volume structure. If a volume, resp.
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On the creation of homoclinic points [PDF]
Publications mathématiques de l'IHÉS, 1987 The paper deals with \(C^ r\)-diffeomorphisms of a manifold to itself having almost homoclinic points corresponding to some hyperbolic fixed point p. The problem considered is the existence of arbitrarily close \(C^ r\)-diffeomorphisms having homoclinic points. For \(r=1\) or 2 this is proved under an additional assumption involving certain probability
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Exponential dichotomies and transversal homoclinic points
Physica D: Nonlinear Phenomena, 1984 Kenneth J Palmer
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Proceedings of the American Mathematical Society, 1976 Results of R. C. Robinson and D. Pixton on the existence of homoclinic points for diffeomorphisms on the two-sphere are extended. An application to area preserving diffeomorphisms on surfaces is given.
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Periodic points and homoclinic classes [PDF]
Ergodic Theory and Dynamical Systems, 2006 We prove that there is a residual subset $\mathcal{I}$ of ${\rm Diff}^1({\it M})$ such that any homoclinic class of a diffeomorphism $f\in \mathcal{I}$ having saddles of indices $\alpha$ and $\beta$ contains a dense subset of saddles of index $\tau$ for every $\tau\in [\alpha,\beta]\cap \mathbb{N}$.
Abdenur, Flavio +4 more
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Homoclinic points and moduli [PDF]
Ergodic Theory and Dynamical Systems, 1989 AbstractIn this paper we study some conjugacy invariants (moduli) for discrete two dimensional dynamical systems, with a homoclinic tangency. We show that the modulus obtained by Palis in the heteroclinic case also turns up in the case considered here. We also present two new conjugacy invariants.
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Multiplicity results for the Neumann boundary value problem
Mathematical Modelling and Analysis, 2007 We provide multiplicity results for the Neumann boundary value problem, when the second order differential equation is of the form x” = f(x).
Svetlana Atslega
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Communication in Biomathematical Sciences, 2023 We study the codimension-two bifurcations exhibited by a recently-developed SIR-type mathematical model for the spread of COVID-19, as its two main parameters -the susceptible individuals' cautiousness level and the hospitals' bed-occupancy rate- vary ...
Livia Owen, Jonathan Hoseana, Benny Yong
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Krauskopf, B, Oldeman, BE
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